find the median of 3,1 ,1/2,5,-7,1,6
Answers
Answer:
Median is the value in a set which is most close to the middle of a range.
In other words, Median is equal to the middle value of a set of ordered data.
Given set of data is :
3,1,1,5,2,7
Firstly we will write it on order (ascending order)
1, 1, 2, 3, 5, 7
There are total 6 numbers (even)
We have a formula to find the position of median is = (\frac{(n+1)}{2} )^{th} term(
2
(n+1)
)
th
term
Position of median = \frac{6+1}{2} = 3.5
2
6+1
=3.5
Since there is an even number of observations in this data set, there is no longer a distinct middle value.
So, we take average of 3rd and 4th term
Median = \frac{2+3}{2} = \frac{5}{2} = 2.5
2
2+3
=
2
5
=2.5
So, median is 2.5
Answer:
Answer
The value of the middle-most observation is called the median of the data.
First arrange the given numbers in ascending order,
2,2,3,5,7,9,9,10,11
Here n=9, which is odd.
Where, n is the number of the given number.
∴ median = value of
2
1
(n+1)
th
observation.
=
2
1
(9+1)
=
2
1
(10)
=10/2
=5
Then, value of 5
th
term =7
Hence, the median is 7.